SOLUTION: State whether the following sets of data are possible for the matrix equation AX = B. If possible, describe the solution set. That is, tell whether there exists a unique solution,

Question 990676: State whether the following sets of data are possible for the matrix
equation AX = B. If possible, describe the solution set. That is, tell whether there exists a unique solution, no solution or infinitely many solutions. Here, [A|B] denotes the augmented matrix.
A is a 3 � 4 matrix, rank (A) = 3 and rank [A|B] = 2.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
It is an impossible situation (~wrong data).

If A is a 3�4 matrix with rank(A) = 3, then rank [A|B] can not be 2.

It can be only 3.

RELATED QUESTIONS
State whether the following sets of data are possible for the matrix equation AX = B. If (answered by ikleyn)

State whether the following sets of data are possible for the matrix equation AX = B. If (answered by ikleyn)

If a, b, c are odd integers, then the equation {{{ ax^2 + bx + c = 0 }}} has no integer... (answered by jim_thompson5910)

Make a scatter plot of the data below. x: -5,-3,-3,0,1,2,5,6 y: -4,12,10,-6,8,0,3,-9 (answered by Edwin McCravy)

If a + b = 11, what are two possible values for c that satisfy the equation below:... (answered by josgarithmetic,ikleyn)

Find the solution sets of the following simultaneous equations, solving for x and y.... (answered by Fombitz)

if sin data = 0, find all the possible values of A) cos data B) tan data C) sec... (answered by stanbon)

evaluate the algebraic expression for the specified values of the variable(s). If not... (answered by stanbon)